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Finding the Fourth Proportional to 3,175.84, 4,737.72 and 3,086.48

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Solution

The fourth proportional to 3,175.84, 4,737.72 and 3,086.48 is: 4,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.84 : 4,737.72 = 3,086.48 : x
  2. Step 2: Convert to fraction form
    3,175.84/4,737.72 = 3,086.48/x
  3. Step 3: Cross multiply
    3,175.84x = 4,737.72 × 3,086.48
  4. Step 4: Simplify right side
    3,175.84x = 14,622,878.03
  5. Step 5: Solve for x
    x = 14,622,878.03/3,175.84
  6. Step 6: Final answer
    x = 4,604.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.